An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions

Details An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions

2009-06-18

arxiv.org/abs/0906.3325v3

Calc. Var. Partial Differential Equations 37 (2010), 381-384.

Mathematics

Analysis of PDEs

4 pages; comments added, proof simplified

Scientific paper

10.1007/s00526-009-0267-9

We present a new, easy, and elementary proof of Jensen's Theorem on the
uniqueness of infinity harmonic functions. The idea is to pass to a finite
difference equation by taking maximums and minimums over small balls.

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